Let \( X \) be a random variable with the following probability distribution.| Value \( x \) of \( X \) | \( P(X = x) \) ||---------------------------|----------------|| 30 | 0.40 || 40 | 0.05 || 50 | 0.40 || 60 | 0.15 |Complete the following. (If necessary, consult a list of formulas.)(a) Find the expectation \( E(X) \) of \( X \).\[ E(X) = \, \, \](b) Find the variance \( \text{Var}(X) \) of \( X \).\[ \text{Var}(X) = \, \, \]

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Answered: Let X be a random variable with the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.40 40 0.05 50 0.40 60 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = D (b) Find the variance Var(X) of X. Var (x) = D